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Finding the Third Proportional to 27,405 and 36,085.50

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Solution

The third proportional to 27,405 and 36,085.50 is: 47,515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405 : 36,085.50 = 36,085.50 : x
  2. Step 2: Convert to fraction form
    27,405/36,085.50 = 36,085.50/x
  3. Step 3: Cross multiply
    27,405x = 36,085.50 × 36,085.50
  4. Step 4: Simplify right side
    27,405x = 1,302,163,310.25
  5. Step 5: Solve for x
    x = 1,302,163,310.25/27,405
  6. Step 6: Final answer
    x = 47,515.54

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.